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Finding the Fourth Proportional to 13,877.22, 19,146.07 and 7,907.76

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Solution

The fourth proportional to 13,877.22, 19,146.07 and 7,907.76 is: 10,910.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,877.22 : 19,146.07 = 7,907.76 : x
  2. Step 2: Convert to fraction form
    13,877.22/19,146.07 = 7,907.76/x
  3. Step 3: Cross multiply
    13,877.22x = 19,146.07 × 7,907.76
  4. Step 4: Simplify right side
    13,877.22x = 151,402,536.39
  5. Step 5: Solve for x
    x = 151,402,536.39/13,877.22
  6. Step 6: Final answer
    x = 10,910.15

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.